A set S of vertices of a connected graph G is convex, if for any pair of vertices u, v ∈ S , every shortest path joining u and v is contained in S . The convex hull CH(S ) of a set of vertices S is defined as the smallest convex set in G containing S . The set S is geodetic, if every vertex of G lies on some shortest path joining two vertices in S, and it is said to be a hull set if its convex ...

The authors are listed out of order. The publisher apologizes for the error. Please view the correct author order, affiliations, and citation here: Thozhukat Sathyapalan, Natalie J. Thatcher, Richard Hammersley, Alan S. Rigby, Fraser L Courts, Alexandros Pechlivanis, Nigel J. Gooderham, Elaine Holmes, Carel W. le Roux, Stephen L. Atkin 1 Academic Endocrinology, Diabetes and Metabolism, Hull Yor...

A nationwide 'vitamin D prophylaxis augmentation programme' initiated in 2005 in Turkey reduced the prevalence of rickets from 6% in 1998 to 0.1% in 2008 in children under 3 years of age. The programme included free distribution of vitamin D drops to all newborns and infants (0-12 months) visiting primary health stations throughout the country. Free disposal of vitamin D to infants is an effect...

Acquiring on-line the evolving shape of a dynamic scene from a handful of video streams may be considered one of the most challenging, but at the same time also most auspicious tasks in contemporary computer graphics and computer vision research. The anticipation of revolutionary new applications such as interactive 3D television broadcasts motivates the ongoing work on free-viewpoint video ren...

We show how to implement arbitrage-free models of the short-term interest rate in a discretetime setting that allows a continuum of rates at any particular date. Discrete time allows approximate pricing of interest rate contingent claims that cannot be valued in continuous-time models. It is usually associated with discrete states, with possible interest rates restricted to a limited number of ...

Shell structures, especially cylindrical shells, are widely used in aerospace and naval architectural industries. Submarine hulls and aircraft bodies can be idealized as cylindrical shell structures. The study of vibrations of cylindrical shells is an important aspect in the successful applications of the cylindrical shells. The free vibration characteristics of a submarine hull have an importa...

this research studied the addition of hull-less barley and wheat malt flour on the qualitative parameters of semi-voluminous bread (form, softness, porosity, upper and under surface characters, chewing capability, aroma, taste, hardness). a completely randomized design was used with 3 treatments (control, use of malted wheat, use of barley flour) in 4 replications. a sensory evaluation and the ...